Theorems · Theorem · category theory
CategoryTheory.BasedNatTrans.homCategory.ext_iff
∀ {𝒮 : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] {𝒳 : CategoryTheory.BasedCategory 𝒮}
{𝒴 : CategoryTheory.BasedCategory 𝒮} {F G : CategoryTheory.BasedFunctor 𝒳 𝒴} {α β : F ⟶ G},
α = β ↔ α.toNatTrans = β.toNatTrans- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.NatTransstatement · cited by 82
- CategoryTheory.BasedCategorystatement and proof · cited by 38
- CategoryTheory.BasedFunctorstatement and proof · cited by 34
- CategoryTheory.BasedCategory.objstatement · cited by 26
- CategoryTheory.BasedFunctor.toFunctorstatement · cited by 23
- CategoryTheory.BasedNatTrans.toNatTransstatement and proof · cited by 12
- CategoryTheory.BasedNatTrans.homCategory.extproof · cited by 1
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